This article is cited in 8 papers

A higher-order conservative method for computing the Poiseuille flow of a rarefied gas in a channel of arbitrary cross section

V. A. Titarev^a, E. M. Shakhov<sup>b

a</sup> Cranfield University, Cranfield, UK, MK43 0AL
^b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

Abstract: A high-order accurate method is proposed for analyzing the isothermal rarefied gas flow in an infinitely long channel with an arbitrarily shaped cross section (Poiseuille flow). The basic idea behind the method is the use of hybrid unstructured meshes in physical space and the application of a conservative technique for computing the gas velocity. Examples of calculations are provided for channels of various cross sections in a wide range of Knudsen numbers. Schemes of the first-, second-, and third orders of accuracy in space are compared.

Key words: rarefied gas, unstructured mesh, Poiseuille flow, Krook kinetic equation, $S$-model, TVD scheme.

UDC: 519.634

Received: 01.07.2009
Revised: 07.10.2009

 English version: Computational Mathematics and Mathematical Physics, 2010, 50:3, 537–548

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